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Finding the Fourth Proportional to 582.87, 804.47 and 406.65

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Solution

The fourth proportional to 582.87, 804.47 and 406.65 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 804.47 = 406.65 : x
  2. Step 2: Convert to fraction form
    582.87/804.47 = 406.65/x
  3. Step 3: Cross multiply
    582.87x = 804.47 × 406.65
  4. Step 4: Simplify right side
    582.87x = 327,134.72
  5. Step 5: Solve for x
    x = 327,134.72/582.87
  6. Step 6: Final answer
    x = 561.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.